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sveticcg [70]
3 years ago
11

A certain type of bacteria increases continuously at a rate proportional to the number present. if there are 500 present at a gi

ven time and 1,000 present 2 hours later, how many hours (from the initial given time) will it take for the numbers to be 2,500
Mathematics
1 answer:
Dima020 [189]3 years ago
6 0
It will take 4 hours, this is because it said it adds 1000 after two hours, and it will add another 1000 two hours later which will give you your answer of four hours
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2x+5y=12
anastassius [24]
Y = -3x - 1......so we sub in -3x - 1 in for y in the other equation

2x + 5y = 12
2x + 5(-3x - 1) = 12....now distribute the 5 through the parenthesis
2x - 15x - 5 = 12...add 5 to both sides
2x - 15x = 12 + 5..combine like terms
-13x = 17...divide both sides by -13
x = -17/13
now sub in -17/13 for x in the other equation
y = -3x - 1
y = -3(-17/13) - 1
y = 51/13 - 1
y = 51/13 - 13/13
y = 38/13

so the solution is (-17/13, 38/13)

8 0
3 years ago
I need help asap ple​
Vinil7 [7]

Answer:

its 16

Step-by-step explanation:

6 0
3 years ago
48. Reading Rates The reading speed of sixth-grade students is approximately normal, with a mean speed of 125 words per minute a
son4ous [18]

Answer:

The reading speed of a sixth-grader whose reading speed is at the 90th percentile is 155.72 words per minute.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 125, \sigma = 24

What is the reading speed of a sixth-grader whose reading speed is at the 90th percentile

This is the value of X when Z has a pvalue of 0.9. So it is X when Z = 1.28.

Z = \frac{X - \mu}{\sigma}

1.28 = \frac{X - 125}{24}

X - 125 = 1.28*24

X = 155.72

The reading speed of a sixth-grader whose reading speed is at the 90th percentile is 155.72 words per minute.

4 0
3 years ago
Read 2 more answers
Given that F(x) = x 2 + 2, evaluate F(1) + F(5) <br> which is the answer? 38 30 15
Valentin [98]

your answer is 30

1^2 (raised to the power of 2) +2 is 3

5^2 +2 is 27

5^2=25

1^2=1

add 27+3=30

6 0
3 years ago
What is the direct variation between x and y when x=10 and y=250
ioda

You can use equations to describe the relationship between the two numbers.

x+240=y

y-240=x


7 0
3 years ago
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